Add the chicken to the slow cooker. Sprinkle the taco seasoning over the chicken and pour the salsa over the chicken. Cook for 2 hours on high.
When the chicken is done, shred it using two forks and mix the chicken with the juices. Add the juice of 1 lime and a pinch of cilantro and mix again.
Prepare the Pico de Gallo by combining all of the ingredients in a medium bowl. Cover and set aside.
In a large pot add butter and garlic over medium heat. Cook until the garlic is fragrant, about 1 minute. Add the cooked rice and lime juice, cilantro, and salt. Mix until well combined.
To make the burritos—Add some shredded chicken to the center of a tortilla. Top with rice and beans. Add about a ¼ cup of cheese and some Pico de Gallo. Wrap and set aside. Repeat with remaining tortillas.
Heat a large skillet to medium-low heat. Add olive oil. Add the wrapped burritos, as many as will fit in the pan at a time. Heat for 4-5 minutes, turning the burritos every minute so they don’t burn until browned on both sides. Repeat with remaining burritos.